Finding the Third Proportional to 111,792 and 174,494

Step by Step Solution

1. Step 1: Write the proportion equation
   111,792 : 174,494 = 174,494 : x
2. Step 2: Convert to fraction form
   111,792/174,494 = 174,494/x
3. Step 3: Cross multiply
   111,792x = 174,494 × 174,494
4. Step 4: Simplify right side
   111,792x = 30,448,156,036
5. Step 5: Solve for x
   x = 30,448,156,036/111,792
6. Step 6: Final answer
   x = 272,364.36